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We present a robust a posteriori error estimator for the weak Galerkin finite element method applied to stationary convection-diffusion equations in the convection-dominated regime. The estimator provides global upper and lower bounds of…

Numerical Analysis · Mathematics 2021-06-02 Natasha Sharma

The results of direct numerical simulation of plane-symmetric turbulence of water waves for potential flows within the framework of conformal variables taking into account low-frequency pumping and high-frequency viscous dissipation are…

Fluid Dynamics · Physics 2025-08-04 E. A. Kochurin , E. A. Kuznetsov

The behavior of real quantum hardware differs strongly from the simple error models typically used when simulating quantum error correction. Error processes are far more complex than simple depolarizing noise applied to single gates, and…

Quantum Physics · Physics 2024-08-06 Ian Hesner , Bence Hetényi , James R. Wootton

This paper concerns the use of the expectation-maximisation (EM) algorithm for inference in partially observed diffusion processes. In this context, a well known problem is that all except a few diffusion processes lack closed-form…

Statistics Theory · Mathematics 2010-08-18 Jimmy Olsson , Jonas Ströjby

We use a theoretical frame-work to analytically assess temporal prediction error functions on von-Karman turbulence when a zonal representation of wave-fronts is assumed. Linear prediction models analysed include auto-regressive of order up…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Kate Jackson , Carlos Correia , Olivier Lardiere , Dave Andersen , Colin Bradley

This letter proposes an analytical approach to formulate the power system oscillation frequency under a large disturbance. A fact is revealed that the oscillation frequency is only the function of the oscillation amplitude when the system's…

Systems and Control · Computer Science 2015-03-27 Bin Wang , Kai Sun

The paper presents error estimates within a unified abstract framework for the analysis of FEM for boundary value problems with linear diffusion-convection-reaction equations and boundary conditions of mixed type. Since neither conformity…

Numerical Analysis · Mathematics 2026-02-04 Lutz Angermann , Peter Knabner , Andreas Rupp

Aerodynamic prediction of glaze ice accretion on airfoils and wing is studied using the Reynolds-averaged Navier-Stokes method. Two separation fixed turbulence models are developed considering the nonequilibrium characteristics of…

Fluid Dynamics · Physics 2021-05-27 Haoran Li , Yufei Zhang , Haixin Chen

Approximate Symbol error rate (SER), outage probability and rate expressions are derived for receive diversity system employing optimum combining when both the desired and the interfering signals are subjected to Rician fading, for the…

Signal Processing · Electrical Eng. & Systems 2019-05-10 Muralikrishnan Srinivasan , Sheetal Kalyani

We extend and apply a recent theory of the dynamical spin response of Anderson lattice systems to interpret ESR data on YbRh2Si2. Starting within a semiphenomenological Fermi liquid description at low temperatures T < Tx (a crossover…

Strongly Correlated Electrons · Physics 2015-05-14 Peter Woelfle , Elihu Abrahams

We derive the mathematical equations required for channel estimation and data detection of filter bank multi-carrier (FBMC) offset quadrature amplitude modulation (OQAM) systems with affine precoding and decoding. The mean square error…

Signal Processing · Electrical Eng. & Systems 2020-09-03 Radhashyam Patra , Arunanshu Mohapatra

We apply a simple method to provide explicit expressions for different scaling exponents in intermittent fully developed turbulence, that before were only given through a Legendre transform. This includes predictability exponents for…

Fluid Dynamics · Physics 2009-11-11 Francois G Schmitt

In the design of engineered components, rigorous vibration testing is essential for performance validation and identification of resonant frequencies and amplitudes encountered during operation. Performing this evaluation numerically via…

Machine Learning · Computer Science 2026-03-12 D. Bluedorn , A. Badawy , B. E. Saunders , D. Roettgen , A. Abdelkefi

An averaging method is applied to derive effective approximation to the following singularly perturbed nonlinear stochastic damped wave equation \nu u_{tt}+u_t=\D u+f(u)+\nu^\alpha\dot{W} on an open bounded domain $D\subset\R^n$\,, $1\leq…

Analysis of PDEs · Mathematics 2015-05-28 Yan Lv , A. J. Roberts

We study trajectory forecasting under squared loss for time series with weak conditional structure, using highly expressive prediction models. Building on the classical characterization of squared-loss risk minimization, we emphasize…

Machine Learning · Statistics 2026-04-02 Pierre Andreoletti

Orthogonal Frequency Division Multiplexing (OFDM) has gained a lot of popularity over the years. Due to its popularity, OFDM has been adopted as a standard in cellular technology and Wireless Local Area Network (WLAN) communication systems.…

Information Theory · Computer Science 2016-10-04 David R. Wasserman , Ahsen U. Ahmed , David W. Chi

We consider a generalised Webster's equation for describing wave propagation in curved tubular structures such as variable diameter acoustic wave guides. Webster's equation in generalised form has been rigorously derived in a previous…

Analysis of PDEs · Mathematics 2014-05-29 Teemu Lukkari , Jarmo Malinen

This paper addresses the problem of unsupervised soft bit error rate (BER) estimation for any communications system, where no prior knowledge either about transmitted information bits, or the transceiver scheme is available. We show that…

Information Theory · Computer Science 2013-09-26 Samir Saoudi , Tarik Ait-Idir , Yukou Mochida

We study a nonconventional ergodic average for asymptotically abelian weakly mixing C*-dynamical systems, related to a second iteration of Khintchine's recurrence theorem obtained by Bergelson in the measure theoretic case. A noncommutative…

Operator Algebras · Mathematics 2009-06-22 Rocco Duvenhage

Weak wave turbulence has been observed on a thin elastic plate in previous work. Here we report theoretical, experimental and numerical studies of wave turbulence in a thin elastic plate submitted to increasing tension. When increasing the…

Statistical Mechanics · Physics 2019-03-27 Roumaissa Hassain , Nicolas Mordant , Benjamin Miquel , Giorgio Krstulovic , Gustavo Düring